Statistics of Dissipation and Enstrophy Induced by Localized Vortices

Guowei He; Shiyi Chen; Robert H. Kraichnan; Raoyang Zhang; Ye Zhou

doi:10.1103/PhysRevLett.81.4636

Statistics of Dissipation and Enstrophy Induced by Localized Vortices

Guowei He, Shiyi Chen, Robert H. Kraichnan, Raoyang Zhang, and Ye Zhou

Phys. Rev. Lett. 81, 4636 – Published 23 November 1998

Abstract

The ratios of enstrophy and dissipation moments induced by localized vorticity are inferred to be finite. It follows that the scaling exponents for locally averaged dissipation and enstrophy are equal. However, enstrophy and dissipation exponents measured over finite ranges of scales may be different. The cylindrical vortex profile that yields maximal moment ratios is determined. The moment ratios for cylindrical vortices are used to interpret differences in scale dependence of enstrophy and dissipation previously found in numerical simulations.

Received 9 March 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.4636

Authors & Affiliations

Guowei He^1,4,*, Shiyi Chen^1,2, Robert H. Kraichnan³, Raoyang Zhang¹, and Ye Zhou²

¹Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
²IBM Research Division, T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598
³369 Montezuma 108, Santa Fe, New Mexico 87501-2626
⁴LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China